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Finding the Fourth Proportional to 6,102.83, 9,156.98 and 2,814.16

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Solution

The fourth proportional to 6,102.83, 9,156.98 and 2,814.16 is: 4,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.83 : 9,156.98 = 2,814.16 : x
  2. Step 2: Convert to fraction form
    6,102.83/9,156.98 = 2,814.16/x
  3. Step 3: Cross multiply
    6,102.83x = 9,156.98 × 2,814.16
  4. Step 4: Simplify right side
    6,102.83x = 25,769,206.84
  5. Step 5: Solve for x
    x = 25,769,206.84/6,102.83
  6. Step 6: Final answer
    x = 4,222.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.